ON MINIMAL NON-BAER-GROUPS

ARIKAN A., Trabelsi N.

COMMUNICATIONS IN ALGEBRA, cilt.39, sa.7, ss.2489-2497, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 7
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1080/00927872.2010.489533
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2489-2497
  • Anahtar Kelimeler: Locally graded groups, Minimal non-Baer-groups, Minimal non-nilpotent-groups, PROPER SUBGROUPS, P-GROUPS, NILPOTENT
  • Gazi Üniversitesi Adresli: Evet

Özet

In this note we extend some results obtained by Xu [20] on soluble minimal non-Baer-groups to locally graded minimal non-Baer-groups. In particular, we prove that if G is an infinite locally graded minimal non-Baer-group, then G is a countable non-perfect locally nilpotent p-group for some prime p. Moreover, if G', the derived subgroup of G, is non-perfect, then for all integers n >= 2, G/gamma(n)(G') is a minimal non-nilpotent-group having a maximal subgroup.